Joel Moreira

activity

20132026

most citedA proof of a sumset conjecture of Erdős

32 citations · 131 across the 20 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.DS2022

A proof of Erdős's $B + B + t$ conjecture

Bryna Kra, Joel Moreira, Florian K. Richter +1

We show that every set $A$ of natural numbers with positive upper density can be shifted to contain the restricted sumset ${b_{1} + b_{2} : b_{1}, b_{2} \in B and b_{1} \neq = b_{2}}$ …

math.DS2022★ 12 cited

Infinite Sumsets in Sets with Positive Density

Bryna Kra, Joel Moreira, Florian K. Richter +1

Motivated by questions asked by Erdos, we prove that any set $A \subset N$ with positive upper density contains, for any $k \in N$ , a sumset $B_{1} + \dots + B_{k}$ , where…

A proof of Erdős's B+B+t conjecture

Infinite Sumsets in Sets with Positive Density

A proof of Erdős's $B + B + t$ conjecture